753922080 has 144 divisors (see below), whose sum is σ = 2668184064. Its totient is φ = 201035520.

The previous prime is 753922073. The next prime is 753922087. The reversal of 753922080 is 80229357.

It is a happy number.

753922080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (753922073) and next prime (753922087).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (753922087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29185 + ... + 48575.

It is an arithmetic number, because the mean of its divisors is an integer number (18529056).

Almost surely, 2^753922080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 753922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334092032).

753922080 is an abundant number, since it is smaller than the sum of its proper divisors (1914261984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

753922080 is a wasteful number, since it uses less digits than its factorization.

753922080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19421 (or 19401 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 753922080 is about 27457.6415593182. The cubic root of 753922080 is about 910.1412975457.

The spelling of 753922080 in words is "seven hundred fifty-three million, nine hundred twenty-two thousand, eighty".